A New Approach to the Line-Integral Transform,
Abstract
The problem of reconstructing two-dimensional density from its line-integrals has been treated by authors from different branches of Physics and Engineering. Formulating the problem as an integral transformation a new method is presented for the derivation of the inverse. The method appears to be efficient and is characterized by the following properties: (a) The solution has the form of an orthogonal expansion; (b) only relevant data is used; (c) the solution is of a convolution type. The key to this method is the use of a particular integral transform to be introduced as the circular harmonic transform. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1973
- Accession Number
- AD0770553
Entities
People
- Moshe Ein-gal
Organizations
- Stanford University